Title of article :
Global bifurcation from intervals of solutions of nonlinear Sturm-Liouville problems with indefinite weight
Author/Authors :
Nasirova, Leyla V. Sumgait State University - Department of Mathematical Analysis, Sumgait, Azerbaijan
Abstract :
We consider the global bifurcation of solutions of nonlinear Sturm-Liouville problems with
indefinite weight function. We prove the existence of four families of global continua of solutions corresponding
to the usual nodal properties and bifurcating from intervals of the line of trivial solutions
Keywords :
nonlinear Sturm-Liouville problem , indefinite weight function , bifurcation interval , global continua of solutions
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences